Controllability of Neutral Stochastic Functional Integro-Differential Equations Driven by Fractional Brownian Motion with Hurst Parameter Lesser than 1/2

2018/09/22 by Boufoussi, Brahim, Mouchtabih, Soufiane
#60H15 60G15 93E03 93B05 #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1809.09482

Abstract

In this article we investigate the controllability for neutral stochastic functional integro-differential equations with finite delay, driven by a fractional Brownian motion with Hurst parameter lesser than 1/2 in a Hilbert space. We employ the theory of resolvent operators combined with the Banach fixed point theorem to establish sufficient conditions to prove the desired result

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